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20020201120000 = 28548910331361
BaseRepresentation
bin1001000110101010100001…
…11110011110000100000000
32121212220122020102201200101
410203111100332132010000
510111002332441320000
6110325053050132144
74134261150506314
oct443252076360400
977786566381611
1020020201120000
116419579674534
1222b4070a21054
13b22b87548693
144d2da9137b44
1524ab885cce6a
hex123550f9e100

20020201120000 has 360 divisors, whose sum is σ = 50583874322520. Its totient is φ = 7904624640000.

The previous prime is 20020201119983. The next prime is 20020201120033. The reversal of 20020201120000 is 2110202002.

It can be written as a sum of positive squares in 20 ways, for example, as 19943441092864 + 76760027136 = 4465808^2 + 277056^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14709919320 + ... + 14709920680.

It is an arithmetic number, because the mean of its divisors is an integer number (140510762007).

Almost surely, 220020201120000 is an apocalyptic number.

20020201120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291937161260).

20020201120000 is an abundant number, since it is smaller than the sum of its proper divisors (30563673202520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20020201120000 is an equidigital number, since it uses as much as digits as its factorization.

20020201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020201120000 its reverse (2110202002), we get a palindrome (20022311322002).

The spelling of 20020201120000 in words is "twenty trillion, twenty billion, two hundred one million, one hundred twenty thousand".